Atkin-Lehner |
2- 3- 5+ 19- 67- |
Signs for the Atkin-Lehner involutions |
Class |
114570bl |
Isogeny class |
Conductor |
114570 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
-169131098250 = -1 · 2 · 312 · 53 · 19 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 -1 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4973,-135169] |
[a1,a2,a3,a4,a6] |
Generators |
[6804003984606:-169290592045997:11269556488] |
Generators of the group modulo torsion |
j |
-18653901818761/232004250 |
j-invariant |
L |
11.816505225437 |
L(r)(E,1)/r! |
Ω |
0.28405353715187 |
Real period |
R |
20.799785392426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38190q1 |
Quadratic twists by: -3 |